On linear systems of moment differential equations with singularities of the first kind

2025/11/09 by Alberto Lastra, Cruz Prisuelos-Arribas, Lastra, Alberto +3
Computer Science · Mathematics · #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics #Advanced Differential Equations and Dynamical Systems

paper · doi:10.48550/arxiv.2511.06302

Abstract

The solution to systems of moment differential equations of the form z∂_my=(zA+B)y are provided, for a matrix B with general good spectrum. Existence and convergence of Floquet-type solutions is studied. A generalized definition of z^B is given, as a tool to solve the main problem whenever A≡ 0. The theory is illustrated with examples which are important in applications.

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